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We re-analyze the predictions of chiral-soliton models for the masses and decay widths of baryons in the exotic antidecuplet of flavour SU(3). The calculated ranges of the chiral-soliton moment of inertia and the π-nucleon scattering Σ πN term are used together with the observed baryon octet and decuplet mass splittings to estimate 1430 MeV < m Θ + < 1660 MeV and 1790 MeV < m Ξ −− < 1970 MeV. These are consistent with the masses reported recently, but more precise predictions rely on ambiguous identifications of non-exotic baryon resonances. The overall decay rates of antidecuplet states are sensitive to the singlet axial-current matrix element in the nucleon. Taking this from polarized deep-inelastic scattering experiments, we find a suppression of the total Θ + and Ξ −− decay widths that may not be sufficient by itself to reproduce the narrow widths required by experiments. We calculate SU(3) breaking effects due to representation mixing and find that they tend to suppress the Θ + decay width, while enhancing that of the Ξ −− . We predict light masses for some exotic 27 baryons, including the I = 1, J P = 3 2 + Θ + and I = 3 2 , J P = 3 2 + Ξ multiplets, and calculate their decay widths.Keywords: pmo. * The relation of NA49 result to previous data is discussed in [21]. * The considerably larger value of I 2 advocated in [22] would yield 10 masses that were unacceptably light, and specific model calculations correlate the values of I 2 and Σ πN . * We comment later on the potential significance of corrections of higher order in SU(3) symmetry breaking [31,10]. * We note in passing that the CQM also predicts equal spacing for the 10 baryons, but different from that for the ordinary decuplet: ∆M 10 ∼ (m s − m u )/3, before the possible mixing of the N 8,10 and Σ 8,10 . * The authors [41] claim there was a misprint in [8], where the ratio for the decuplet decays was inadvertently written as M ′ /M . Different opinions are presented in [9,42].

Linear dynamical systems, driven by a non-white noise which has the Lévy distribution, are analysed. Noise is modelled by a specific stochastic process which is defined by the Langevin equation with a linear force and the Lévy distributed symmetric white noise. Correlation properties of the process are discussed. The Fokker-Planck equation driven by that noise is solved. Distributions have the Lévy shape and their width, for a given time, is smaller than for processes in the white noise limit. Applicability of the adiabatic approximation in the case of the linear force is discussed.

We use the simple instanton motivated NJL-type model to calculate the leading twist pion light cone wave function. The model consists in employing the momentum dependent quark mass in the quark loop entering the definition of the wave function. The result is analytical up to a solution of a certain algebraic equation. Various properties including the k T dependence of the pion wave function are discussed. The resulting k T integrated wave function is not asymptotic and is in agreement with recent analysis of the CLEO data.

Magnetic moments of baryons are studied within the chiral quark soliton model with special emphasis on the decuplet of baryons. The model is used to identify all symmetry breaking terms proportional to m s . Sum rules for the magnetic moments are derived. A "model-independent" analysis of the symmetry breaking terms is performed and finally model calculations are presented, which show the importance of the rotational 1/N c corrections for cranking of the soliton.

with an error in Eq. (19). Equation (19) should read as M 03 ¼ M 0 sol þ 1 2I 2 þ 1 I 1 ða 2 1 Þ. The equation has been corrected as of 1 August 2017. The equation is correct in the printed version of the journal.

The CMS experiment at the Large Hadron Collider has recently presented data on the average transverse momentum of protons, kaons and pions as a function of particle multiplicity. We relate the particle multiplicity to saturation momentum using recently published computations of the interaction radius determined from the theory of the Color Glass Condensate. We show that the pp and the pA experimental data scale in terms of these saturation momenta. Computing transverse momentum spectra for identified particles using Boltzmann-type distributions and relating different associated multiplicities using geometric scaling, these simple distributions reproduce the observed dependence of the mean transverse momentum on particle multiplicities seen in both pp and pA interactions for pions to good accuracy, and to fair agreement for protons and kaons.

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